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1 algebraic series
Большой англо-русский и русско-английский словарь > algebraic series
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2 algebraic series
Математика: алгебраический ряд -
3 algebraic series
мат. -
4 series
1) серия; ряд; последовательность2) геол. толща, свита3) мат. прогрессия; рядexpansion in a series — матем. разложение в ряд
series in a closed form — матем. ряд в замкнутом виде, замкнутый ряд
series in terms of powers of x — матем. ряд по степеням x
series with decreasing coefficients — матем. ряд с убывающими коэффициентами
to cut off a series — матем. обрывать ряд
to develop as series in x — матем. разлагать в ряд по степеням x
to expand in power series — матем. разлагать в степенной ряд
to expand into series — матем. разлагать в ряд
- absolutely divergent series - absolutely summable series - almost everywhere summable series - almost periodic series - almost stationary series - almost uniformly convergent series - completely convergent series - completely invariant series - configuration counting series - confluent hypergeometric series - dominating series - essentially divergent series - everywhere convergent series - everywhere divergent series - function counting series - inverse tangent series - monotonic increasing series - multidimensional time series - multivariate time series - nonuniformly convergent series - normally distributed series - normally summable series - randomly ordered series - slowly oscillating series - strongly summable series - unconditionally convergent series - uniformly bounded series - uniformly divergent series - uniformly summable series - upper central seriesto express as power series — матем. выражать в виде степенного ряда
4) цикл, сериал5) электр. последовательное соединение•connected in series with — электр. последовательно включённый
to place in series with — электр. включать последовательно
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5 алгебраический ряд
algebraic series мат.Русско-английский научно-технический словарь Масловского > алгебраический ряд
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6 алгебраический ряд
Большой англо-русский и русско-английский словарь > алгебраический ряд
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7 алгебраический ряд
Mathematics: algebraic seriesУниверсальный русско-английский словарь > алгебраический ряд
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8 field
1) поле || полевой2) магн. наряжённость поля3) участок; область5) полигр. фон; грунт6) горн. прииск; месторождение7) горн. промысел || промысловый8) матем. тело; поле10) полевой; эксплуатационный•- algebraically complete field - axisymmetric field - base field - basic field - completely valuated field - field of algebraic numbers - fully ordered field - fully ramified field - gross field - guiding magnetic field - linear transformation field - locally compact ultrametric field - locally finite field - purely unseparable field - strictly monotone field - strongly isomorphic field - topologized algebraic field - totally imaginary field - totally ramified field - totally real fieldfield with a valuation — поле с оценкой, поле с нормой; метризованное поле
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9 representation
1) изображение2) отображение; представление•- completely irreducible representation - completely reduced representation - completely reducible representation - discrete representation - finitely related representation - identity representation - locally constant representation - locally faithful representation - strongly rational representation - totally reducible representation -
10 Boole, George
SUBJECT AREA: Electronics and information technology[br]b. 2 November 1815 Lincoln, Englandd. 8 December 1864 Ballintemple, Coounty Cork, Ireland[br]English mathematician whose development of symbolic logic laid the foundations for the operating principles of modern computers.[br]Boole was the son of a tradesman, from whom he learned the principles of mathematics and optical-component manufacturing. From the early age of 16 he taught in a number of schools in West Yorkshire, and when only 20 he opened his own school in Lincoln. There, at the Mechanical Institute, he avidly read mathematical journals and the works of great mathematicians such as Lagrange, Laplace and Newton and began to tackle a variety of algebraic problems. This led to the publication of a constant stream of original papers in the newly launched Cambridge Mathematical Journal on topics in the fields of algebra and calculus, for which in 1844 he received the Royal Society Medal.In 1847 he wrote The Mathematical Analysis of Logic, which applied algebraic symbolism to logical forms, whereby the presence or absence of properties could be represented by binary states and combined, just like normal algebraic equations, to derive logical statements about a series of operations. This laid the foundations for the binary logic used in modern computers, which, being based on binary on-off devices, greatly depend on the use of such operations as "and", "nand" ("not and"), "or" and "nor" ("not or"), etc. Although he lacked any formal degree, this revolutionary work led to his appointment in 1849 to the Chair of Mathematics at Queen's College, Cork, where he continued his work on logic and also produce treatises on differential equations and the calculus of finite differences.[br]Principal Honours and DistinctionsRoyal Society Medal 1844. FRS 1857.BibliographyBoole's major contributions to logic available in republished form include George Boole: Investigation of the Laws of Thought, Dover Publications; George Boole: Laws of Thought, Open Court, and George Boole: Studies in Logic \& Probability, Open Court.1872, A Treatise on Differential Equations.Further ReadingW.Kneale, 1948, "Boole and the revival of logic", Mind 57:149.G.C.Smith (ed.), 1982, George Boole \& Augustus de Morgan. Correspondence 1842– 1864, Oxford University Press.—, 1985, George Boole: His Life and Work, McHale.E.T.Bell, 1937, Men of Mathematics, London: Victor Gollancz.KF -
11 equation
nounуравнение nlinear stochastic differential equation линейное стохастическое дифференциальное уравнениеlinear stochastic parabolic equation линейное стохастическое параболическое уравнениеLiou-ville stochastic differential equation стохастическое дифференциальное уравнение Лиу-вилляNavier-Stokes stochastic differential equation стохастическое дифференциальное уравнение Навье-Стоксаoperator stochastic differential equation операторное стохастическое дифференциальное уравнениеquantum stochastic differential equation квантовое стохастическое дифференциальное уравнениеstochastic differential equation стохастическое дифференциальное уравнениеstochastic partial differential equation стохастическое дифференциальное уравнение с частными производнымиsymmetric stochastic differential equation симметрическое стохастическое дифференциальное уравнение, стохастическое дифференциальное уравнение в форме Стратоновичаtransfer kinetic. equation кинетиче- ское уравнение переносаАнглийский-русский словарь по теории вероятностей, статистике и комбинаторике > equation
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12 expansion
1) протяженность; пространство2) метал. развальцовка3) матем. разложение ( в ряд)4) растяжение; расширение; распространение; экспансия5) геол. увеличение мощности пласта•expansion by binomial theorem — матем. разложение по формуле бинома
expansion by continuity — матем. расширение по непрерывности
expansion by heat — физ. расширение при нагревании
expansion into a series — матем. разложение в ряд
expansion in terms of — разложение в ряд по...
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13 method
метод; процедура; способ- antithetic variate method - average ordinate method - average range method - binary search method - conjugate directions method - conjugate gradient method - control chart method - conventional milling method - correlation function method - decision function method - differential control method - Feynman diagram method - first approximation method - gradient projection method - iterative method - large sample method - large sieve method - least-squares regression method - less than fully efficient method - linearly implicit method - method of adjoint gradient - method of algebraic addition - method of alternating directions - method of balanced blocks - method of complex numbers - method of confidence intervals - method of conformal mappings - method of conjugate directions - method of conjugate gradients - method of cyclic descent - method of detached coefficients - method of disjunction of cases - method of divided differences - method of electrical images - method of elimination of quantifiers - method of empty ball - method of extreme values - method of false position - method of feasible directions - method of finite differences - method of first approximation - method of first entrance - method of fitting constants - method of fixed points - method of full enumeration - method of generating functions - method of geometric exhaustion - method of indefinite coefficients - method of infinite descent - method of interval bisection - method of least absolute values - method of least distance - method of least likelihood - method of maximum likelihood - method of means and standard deviations - method of medians and extreme values - method of minimal change - method of minimal variance - method of mirror reflections - method of moving frame - method of multiple comparison - method of orthogonal projections - method of paired associates - method of paired comparisons - method of phase integrals - method of projecting cones - method of proportional parts - method of rotating factors - method of semantic tableaux - method of separation of variables - method of simulaneous displacements - method of stationary phase - method of statistical differentials - method of statistical inference - method of steep variations - method of steepest ascent - method of stochastic approximation - method of straightforward iteration - method of successive displacements - method of successive divisions - method of successive elimination - method of transfinite induction - method of unweighted means - method of variable differences - method of variation of parameters - method of weighted residuals - optimum method - parallel tangents method - precision method - random walk method - recursive method - reduced gradient method - reflected wave method - relative method of measurement - sampling method by variables - statistical sampling method - steepest descent method - time average method -
14 space
1) интервал, промежуток2) пробел || оставлять пробелы3) область; площадь4) пространство || пространственный5) космос, космическое пространство6) полость7) расстояние•- absolutely compact space - absolutely embedded space - absolutely thick space - algebraically parallel space - almost complex space - almost expandable space - almost isomorphic space - almost metric space - almost nonsingular space - almost paracompact space - almost pretopological space - analytically ramified covering space - arcwise connected space - centrally harmonic space - compactly ordered space - completely continuous space - completely degenerate space - completely disconnected space - completely harmonic space - completely metric space - completely normal space - completely reducible space - completely regular space - completely reticulated space - completely separable space - completely separated space - completely symmetric space - completely uniformizable space - constant curvature space - continuous sample space - continuously ordered space - contractible in itself space - countably compactifiable space - countably dimensional space - countably generated space - countably infinite space - countably metacompact space - countably multinormed space - countably normed space - countably paracompact space - countably refinable space - countably subcompact space - finitely productive space - finitely sheeted space - finitely triangulated space - fully normal space - general metrizable space - general topological space - global analytic space - globally symmetric space - hereditarily normal space - hereditarily paracompact space - hereditarily separable space - hereditarily symmetric space - holomorphic tangent space - holomorphically complete space - holomorphically convex space - homotopy associative space - iterated loop space - linearly connected space - linearly ordered space - linearly topologized space - load space - locally bounded space - locally closed space - locally compact space - locally complete space - locally connected space - locally contractible space - locally convex space - locally directed space - locally fine space - locally holomorphic space - locally homogeneous space - locally hyperbolic space - locally linear space - locally metrizable space - locally ringed space - locally separable space - locally simply connected space - locally solid space - locally spherical space - locally star-shaped space - locally symmetric space - locally timelike space - locally triangulable space - monotonically normal space - naturally isomorphic space - naturally ordered space - naturally reductive space - nearly paracompact space - negative metric space - normally separated space - not simply connected space - nowhere connected space - null space of linear transformation - n-way projective space - perfectly normal space - perfectly regular space - perfectly screenable space - perfectly separable space - peripherically bicompact space - peripherically compact space - pointwise paracompact space - projectively metric space - quaternion hyperbolic space - quaternion projective space - quaternion vector space - regularly ordered space - relatively discrete space - relatively strong space - sequentially closed space - sequentially compact space - sequentially complete space - sequentially quasicomplete space - sequentially separable space - simply ordered space - simply partitionable space - space of affine connectedness - space of complex homomorphisms - space of continuous functions - space of finite measure - space of linear interpolation - space of right cosets - space of scalar curvature - strongly bounded space - strongly closed space - strongly compact space - strongly complete space - strongly irreducible space - strongly normal space - strongly normed space - strongly paracompact space - strongly pseudocompact space - strongly pseudometrizable space - strongly rigid space - strongly screenable space - structural space - structure space - topologically complete space - totally disconnected space - totally geodesic space - totally imperfect space - totally normal space - totally orderable space - totally ordered space - water jacket space - weakly closed space - weakly compact space - weakly complete space - weakly covering space - weakly dense space - weakly favorable space - weakly n-dimensional space - weakly paracompact space - weakly regular space - weakly separable space - weakly symmetric spaceto space out — полигр. набирать вразрядку
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15 sum
1) сумма; итог || суммировать, складывать; подводить итог3) резюмировать•sum over sum — мат. сумма вдоль подпространства
sum taken over — сумма, взятая по…
to sum up — резюмировать, суммировать
to sum with respect to — суммировать по...
- free sum- rank sum- regression sum of squares- risk sum- row sum- sum of squares for contrasts- unit sum -
16 product
1) продукт, изделие; товар2) мат. произведение, результат умножения3) результат, итог4) pl продукция•- absolutely free product - complete regular product - fully regular product - primary forest products - product of measure spaces - product of vector spaces - scalar triple product - semiinner product - semiscalar product - triple vector product - usual inner product - vector triple productto draw off an overhead product — хим. отбирать дистиллят
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17 ring
1) кольцо2) окружность; круг3) звон || звонить; звенеть4) кольцевая область; кольцо || кольцевой6) обруч || надевать обруч7) обод; фланец; обойма8) ободок9) телефон. звонок; вызов || посылать вызов10) вчт счётное кольцо; кольцевая схема11) тор12) фланец; хомут; бугель13) ядро•ring over field — мат. кольцо над полем
ring with cancellation — мат. кольцо без делителей нуля
ring with divided powers — мат. кольцо с разделёнными степенями
ring with division — мат. кольцо с делением
ring with divisors of zero — мат. кольцо с делителями нуля
ring with filtration — мат. кольцо с фильтрацией, фильтрованное кольцо
ring with identity — мат. кольцо с единицей
ring with involution — мат. кольцо с инволюцией
ring with maximum condition — мат. кольцо с условием максимальности
ring with minimum condition — мат. кольцо с условием минимальности
ring with operators — мат. кольцо с операторами, операторное кольцо
ring with unit element — мат. кольцо с единицей
ring with unity — мат. кольцо с единицей
ring without divisors of zero — мат. кольцо без делителей нуля
ring without identity — мат. кольцо без единицы
- absolutely flat ring - analytically normal ring - analytically unramified ring - completely reducible ringring without radical — мат. кольцо без радикала
- eye ring- flat cohomology ring - fully primary ring - lattice ordered ring - left hereditary ring - locally decomposable ring - locally factorial ring - locally matrix ring - locally nilpotent ring - locally polynomial ring- mud ring- nil ring- nilpotent ring - projectively trivial ring- rim ring- ring of analytical functions - ring of formal power series - ring of linear transformations - ring of principal ideals - ring of vector functions- ring off- top ring- total quotient ring - totally primary ring - totally reducible ring - weakly regular ring -
18 sum
1) сумма || суммировать, складывать2) объединение ( множеств) || объединять ( множества)3) резюме; итог || резюмировать; подводить итог; суммировать•- sum of operators
- sum of products
- sum of series
- sum of sets
- sum of squares
- algebraic sum
- approximate sum
- arithmetic sum
- check sum
- column sum
- cumulative sum - logic sum
- logical sum
- lower sum
- modulo N-sum
- negative sum
- non-zero sum
- positive sum
- rank sum
- residual sum
- residual sum of squares
- row sum
- running sum
- statistical sum
- topological sum
- total sum of squares
- upper sum
- vector sum
- weighted sum
- zero sum -
19 sum
1) сумма || суммировать, складывать2) объединение ( множеств) || объединять ( множества)3) резюме; итог || резюмировать; подводить итог; суммировать•- approximate sum
- arithmetic sum
- check sum
- column sum
- cumulative sum of squares
- cumulative sum
- explained sum of squares
- logic sum
- logical sum
- lower sum
- modulo N sum
- negative sum
- non-zero sum
- positive sum
- rank sum
- residual sum of squares
- residual sum
- row sum
- running sum
- statistical sum
- sum of matrices
- sum of operators
- sum of products
- sum of series
- sum of sets
- sum of squares
- topological sum
- total sum of squares
- upper sum
- vector sum
- weighted sum
- zero sumThe New English-Russian Dictionary of Radio-electronics > sum
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20 basis
1) базис, база2) основание, фундамент4) базовый компонент, основа•
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